first law of black hole mechanics
E844996
The first law of black hole mechanics relates changes in a black hole’s mass, area, angular momentum, and charge in a way analogous to the first law of thermodynamics, connecting energy conservation with horizon properties.
All labels observed (1)
| Label | Occurrences |
|---|---|
| first law of black hole mechanics canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10147842 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: first law of black hole mechanics Context triple: [The four laws of black hole mechanics, hasPart, first law of black hole mechanics]
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A.
zeroth law of black hole mechanics
The zeroth law of black hole mechanics states that the surface gravity of a stationary black hole is constant over its event horizon, analogous to the uniform temperature in thermal equilibrium in thermodynamics.
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B.
“The four laws of black hole mechanics”
“The four laws of black hole mechanics” is a foundational 1973 paper in theoretical physics that established the analogy between black hole dynamics and the laws of thermodynamics, laying the groundwork for black hole thermodynamics.
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C.
Bekenstein–Hawking entropy
Bekenstein–Hawking entropy is the thermodynamic entropy associated with a black hole, proportional to the area of its event horizon and fundamental in linking gravity, quantum theory, and thermodynamics.
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D.
black hole no-hair theorem
The black hole no-hair theorem is a principle in general relativity stating that stationary black holes are completely characterized by only a few macroscopic parameters—mass, electric charge, and angular momentum—regardless of the details of the matter that formed them.
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E.
The Mathematical Theory of Black Holes
The Mathematical Theory of Black Holes is a landmark monograph that presents a rigorous, comprehensive treatment of the physics and mathematics underlying black hole solutions in general relativity.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: first law of black hole mechanics Target entity description: The first law of black hole mechanics relates changes in a black hole’s mass, area, angular momentum, and charge in a way analogous to the first law of thermodynamics, connecting energy conservation with horizon properties.
-
A.
zeroth law of black hole mechanics
The zeroth law of black hole mechanics states that the surface gravity of a stationary black hole is constant over its event horizon, analogous to the uniform temperature in thermal equilibrium in thermodynamics.
-
B.
“The four laws of black hole mechanics”
“The four laws of black hole mechanics” is a foundational 1973 paper in theoretical physics that established the analogy between black hole dynamics and the laws of thermodynamics, laying the groundwork for black hole thermodynamics.
-
C.
Bekenstein–Hawking entropy
Bekenstein–Hawking entropy is the thermodynamic entropy associated with a black hole, proportional to the area of its event horizon and fundamental in linking gravity, quantum theory, and thermodynamics.
-
D.
black hole no-hair theorem
The black hole no-hair theorem is a principle in general relativity stating that stationary black holes are completely characterized by only a few macroscopic parameters—mass, electric charge, and angular momentum—regardless of the details of the matter that formed them.
-
E.
The Mathematical Theory of Black Holes
The Mathematical Theory of Black Holes is a landmark monograph that presents a rigorous, comprehensive treatment of the physics and mathematics underlying black hole solutions in general relativity.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
law of black hole mechanics
ⓘ
physical law ⓘ thermodynamic analogy ⓘ |
| analogousTo | first law of thermodynamics ⓘ |
| appliesTo |
Kerr black holes
NERFINISHED
ⓘ
Kerr–Newman black holes NERFINISHED ⓘ stationary black holes ⓘ |
| assumes |
existence of a Killing horizon
ⓘ
stationarity of the black hole spacetime ⓘ |
| connects |
conserved charges at infinity
ⓘ
geometric properties of the horizon ⓘ |
| consequenceOf | Einstein field equations under suitable conditions ⓘ |
| equationForm | dM = (κ / 8πG) dA + Ω_H dJ + Φ_H dQ ⓘ |
| expresses | conservation of energy for black holes ⓘ |
| field |
black hole thermodynamics
NERFINISHED
ⓘ
general relativity NERFINISHED ⓘ gravitational physics ⓘ theoretical physics ⓘ |
| historicalContext | formulated in early 1970s ⓘ |
| implies | horizon area behaves like entropy ⓘ |
| inspiredBy | classical thermodynamics ⓘ |
| mathematicalNature | differential relation ⓘ |
| parameter |
electrostatic potential at the horizon Φ_H
ⓘ
horizon angular velocity Ω_H ⓘ surface gravity κ ⓘ |
| relatedTo |
Bekenstein–Hawking entropy
NERFINISHED
ⓘ
Hawking radiation NERFINISHED ⓘ second law of black hole mechanics NERFINISHED ⓘ third law of black hole mechanics ⓘ zeroth law of black hole mechanics NERFINISHED ⓘ |
| relatesConcept |
black hole angular momentum
ⓘ
black hole electric charge ⓘ black hole horizon area ⓘ black hole mass ⓘ energy conservation ⓘ first law of thermodynamics ⓘ horizon properties ⓘ surface gravity ⓘ |
| relatesQuantity |
change in angular momentum dJ
ⓘ
change in charge dQ ⓘ change in horizon area dA ⓘ change in mass dM ⓘ |
| supports |
interpretation of black hole area as entropy
ⓘ
view of black holes as thermodynamic systems ⓘ |
| usedIn |
AdS/CFT correspondence analyses
ⓘ
black hole thermodynamic derivations ⓘ studies of quantum gravity ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: first law of black hole mechanics Description of subject: The first law of black hole mechanics relates changes in a black hole’s mass, area, angular momentum, and charge in a way analogous to the first law of thermodynamics, connecting energy conservation with horizon properties.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject surface form:
The four laws of black hole mechanics